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Finding the Fourth Proportional to 928.82, 1,281.79 and 509.19

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Solution

The fourth proportional to 928.82, 1,281.79 and 509.19 is: 702.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.82 : 1,281.79 = 509.19 : x
  2. Step 2: Convert to fraction form
    928.82/1,281.79 = 509.19/x
  3. Step 3: Cross multiply
    928.82x = 1,281.79 × 509.19
  4. Step 4: Simplify right side
    928.82x = 652,670.48
  5. Step 5: Solve for x
    x = 652,670.48/928.82
  6. Step 6: Final answer
    x = 702.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.